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Finding the Fourth Proportional to 20,622.75, 30,920.24 and 9,523.32

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Solution

The fourth proportional to 20,622.75, 30,920.24 and 9,523.32 is: 14,278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,622.75 : 30,920.24 = 9,523.32 : x
  2. Step 2: Convert to fraction form
    20,622.75/30,920.24 = 9,523.32/x
  3. Step 3: Cross multiply
    20,622.75x = 30,920.24 × 9,523.32
  4. Step 4: Simplify right side
    20,622.75x = 294,463,292.38
  5. Step 5: Solve for x
    x = 294,463,292.38/20,622.75
  6. Step 6: Final answer
    x = 14,278.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.